Prime p₀= 2386285863466670741 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 148 2 82 2 28 2 16 2 10 2 (?)
a_n: 0 2 6 8 156 158 240 242 270 272 288 290 300 302
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 302
Found by: ChUcK
db: batch=81, k=14, 4 148 82 28 16 10

SPT(16)	2386284852174258781	0 48 58 78 88 120 130 160 210 240 250 282 292 312 322 370	-1011292411960
SPT(16)	2386284941526039469	0 12 34 42 48 60 82 90 262 270 292 304 310 318 340 352	-921940631272
STPT(10)	2386285085899786847	0 2 12 14 42 44 72 74 84 86	-777566883894
SPT(16)	2386285381202298781	0 30 66 72 112 126 156 162 190 196 226 240 280 286 322 352	-482264371960
SPT(16)	2386285733750292497	0 30 32 56 114 194 236 246 260 270 312 392 450 474 476 506	-129716378244
STPT(10)	2386285773307966529	0 2 18 20 30 32 42 44 60 62	-90158704212
STPT(10)	2386285908588867557	0 2 24 26 42 44 60 62 84 86	45122196816
SPT(16)	2386286291268463607	0 44 50 56 90 116 134 140 150 156 174 200 234 240 246 290	427801792866
SPT(13)	2386286336808770471	0 6 18 78 108 126 168 210 228 258 318 330 336	473342099730
TPT(14)	2386286418187436969	0 2 12 14 42 44 78 80 120 122 162 164 198 200	554720766228
STPT(10)	2386286418187437011	0 2 36 38 78 80 120 122 156 158	554720766270